On a blanked race track, the smallest circular path on whichcars can move has a
ID: 1721861 • Letter: O
Question
On a blanked race track, the smallest circular path on whichcars can move has a radius of 112m, while the largest has a radiusof 165m, as the drawing illustrates. The height of the outer wallis 18m. find: a) the smallest & b) the largest speed at which cars can move on this trackwithout relying on friction Book answers: a) 19 m/s and b) 23 m/s thanks! On a blanked race track, the smallest circular path on whichcars can move has a radius of 112m, while the largest has a radiusof 165m, as the drawing illustrates. The height of the outer wallis 18m. find: a) the smallest & b) the largest speed at which cars can move on this trackwithout relying on friction Book answers: a) 19 m/s and b) 23 m/s thanks!Explanation / Answer
From the figure, horizontal distance between outer and innerwalls, d = 165 - 112 = 53 m height of outer wall, h = 18 m tan = 18 / 53 (a) r = 112 m smallest speed, V = ( r g tan ) = ( 112 * 9.8 * 18 / 53 ) = 19.3 m/s (b) r = 165 m smallest speed, V = ( r g tan ) = ( 165 * 9.8 * 18 / 53 ) = 23.4 m/s